FIGURE TRANSFORMATIONS By Ana Cortes Math 1351 Project

FIGURE TRANSFORMATIONS By: Ana Cortes Math 1351 Project #5

TEKS 5 TH GRADE (1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems; (8) Geometry and measurement. The student applies mathematical process standards to identify locations on a coordinate plane. The student is expected to: (A) describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the origin; (B) describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane; and (C) graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.

TRANSFORMATION DEFINITION The original shape of the object is called the pre-image and the final shape and position of the object is the image under the transformation. Types of transformations in math. Translation. Reflection. point reflection.

TRANSFORMATION

TRANSFORMATION http: //www. sheppardsoftware. com/mathgames/geometry/shapeshoot/Tr anslate. Shapes. Shoot. htm

DEFINITION OF TRANSLATION "Sliding": moving a shape without rotating or flipping it. The shape still looks exactly the same, just in a different place

TRANSLATION EXAMPLE

INTERACTIVE TRANSLATED FIGURE http: //www. mathwarehouse. com/transformations/translations-interactive -activity. php

DEFINITION OF REFLECTION A REFLECTION IN LINE “L” IS A TRANSFORMATON FROM THE PLACE TO THE PLANE THAT PAIRS EACH POINT “P” WITH A POINT P’ IN SUCH A WAY THAT “L” IS THE PERPENDICULAR BISECTOR OF LINE PP’, S LONG S “P” IS NOT ON THE “L”. If “p” is on “L”, then p=p

REFLECTION EXAMPLE

INTERACTIVE REFLECTED FIGURE https: //www. khanacademy. org/math/geometry/transformations/hs-georeflections/e/defining-reflections

DEFINITION OF ROTATION A transformation in which a plane figure turns around a fixed center point. In other words, one point on the plane, the center of rotation, is fixed and everything else on the plane rotates about that point by a given angle.

EXAMPLE OF RATATION

INTERACTIVE ROTATED FIGURE http: //www. mathsisfun. com/geometry/rotation. html